Trigonometric Equations Quiz
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the interval over which we solve trigonometric equations analytically in this tutorial?
0 to π
0 to 4π
0 to 2π
0 to π/2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the equation cosine of 2x equals negative one-half, what is the adjusted domain for 2x?
0 to π
0 to 2π
0 to 4π
0 to 3π
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How many solutions are there for the equation cosine of 2x equals negative one-half within the interval 0 to 2π?
2
5
3
4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain for x/2 when solving the equation sine of x/2 equals one-half?
0 to 3π
0 to π/2
0 to 2π
0 to π
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the solutions for x in the equation sine of x/2 equals one-half?
π/4 and 3π/4
π/6 and 5π/6
π/2 and 3π/2
π/3 and 5π/3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric identity is used to rewrite cosine of 2 theta in terms of sine?
cos(2θ) = 1 - 2sin²θ
cos(2θ) = 1 + 2sin²θ
cos(2θ) = 2cos²θ - 1
cos(2θ) = cos²θ - sin²θ
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What type of equation does the identity transform the problem into when solving sine of theta equals cosine of 2 theta?
Cubic equation
Quadratic equation
Linear equation
Exponential equation
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